The New River Rapids Under-15 Girls€™Travel Soccer Team is determining which tournaments it should enter during the fall season. The manager has identified six possible tournaments, and the team wants to enter three of them. The team manager first surveyed the parents and players and determined a list of decision criteria and their relative weights. The manager then asked the parents and players to grade the tournaments on how well they satisfied the criteria. The criteria, weights, and average grades are summarized as follows:

To what three tournaments should the manager recommend the team apply, given the preferences indicated by the parents andplayers?

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Tournament Decision Criterion Weight Roanoke Greensboro Bristol Richmond Knoxville Charlotte 0.24 0.21 Distance Tournamen dates Hotel cost Level of 81 91 73 85 79 92 83 84 69 75 0.16 0.14 75 93 73 89 71 94 86 63 70 80 79 competition Field quality 0.10 0.07 0.06 0.02 81 97 87 91 91 83 Shopping Attractions Restaurants 81 73 83 91 95 96 72